• Title/Summary/Keyword: factorization

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Vehicle Recognition using Non-negative Tensor Factorization (비음수 텐서 분해를 이용한 차량 인식)

  • Ban, Jae Min;Kang, Hyunchul
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.5
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    • pp.136-146
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    • 2015
  • The active control of a vehicle based on vehicle recognition is one of key technologies for the intelligent vehicle, and the part-based image representation is necessary to recognize vehicles with only partial shapes of vehicles especially in urban scene where occlusions frequently occur. In this paper, we implemented a part-based image representation scheme using non-negative tensor factorization(NTF) and realized a robust vehicle recognition system using the NTF feature. The result shows that the proposed method gives more intuitive part-based representation and more robust recognition in urban scene.

Implementation of high performance parallel LU factorization program for multi-threads on GPGPUs (GPGPU의 멀티 쓰레드를 활용한 고성능 병렬 LU 분해 프로그램의 구현)

  • Shin, Bong-Hi;Kim, Young-Tae
    • Journal of Internet Computing and Services
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    • v.12 no.3
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    • pp.131-137
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    • 2011
  • GPUs were originally designed for graphic processing, and GPGPUs are general-purpose GPUs for numerical computation with high performance and low electric power. In this paper, we implemented the parallel LU factorization program for GPGPUs. In CUDA, which is computational environment for Nvidia GPGPUs, domains are divided into blocks, and multi-threads compute each sub-blocks Simultaneously. In LU factorization program, computation order should be artificially decided due to the data dependence. To resolve the data dependancy, we suggested a parallel LU program for GPGPUs, and also explained parallel reduction algorithm for partial pivoting of LU factorization. We finally present performance analysis to show efficiency of the parallel LU factorization program based on multi-threads on GPGPUs.

3-D shape and motion recovery using SVD from image sequence (동영상으로부터 3차원 물체의 모양과 움직임 복원)

  • 정병오;김병곤;고한석
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.3
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    • pp.176-184
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    • 1998
  • We present a sequential factorization method using singular value decomposition (SVD) for recovering both the three-dimensional shape of an object and the motion of camera from a sequence of images. We employ paraperpective projection [6] for camera model to handle significant translational motion toward the camera or across the image. The proposed mthod not only quickly gives robust and accurate results, but also provides results at each frame becauseit is a sequential method. These properties make our method practically applicable to real time applications. Considerable research has been devoted to the problem of recovering motion and shape of object from image [2] [3] [4] [5] [6] [7] [8] [9]. Among many different approaches, we adopt a factorization method using SVD because of its robustness and computational efficiency. The factorization method based on batch-type computation, originally proposed by Tomasi and Kanade [1] proposed the feature trajectory information using singular value decomposition (SVD). Morita and Kanade [10] have extenened [1] to asequential type solution. However, Both methods used an orthographic projection and they cannot be applied to image sequences containing significant translational motion toward the camera or across the image. Poleman and Kanade [11] have developed a batch-type factorization method using paraperspective camera model is a sueful technique, the method cannot be employed for real-time applications because it is based on batch-type computation. This work presents a sequential factorization methodusing SVD for paraperspective projection. Initial experimental results show that the performance of our method is almost equivalent to that of [11] although it is sequential.

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Boolean Factorization Using Two-cube Non-kernels (2-큐브 비커널을 이용한 부울 분해식 산출)

  • Kwon, Oh-Hyeong;Chun, Byung-Tae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.11
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    • pp.4597-4603
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    • 2010
  • A factorization is a very important part of multi-level logic synthesis. The number of literals in a factored form is an estimate of the complexity of a logic function, and can be translated directly into the number of transistors required for implementation. Factored forms are described as either algebraic or Boolean, according to the trade-off between run-time and optimization. A Boolean factored form contains fewer number of literals than an algebraic factored form. In this paper, we present a new method for a Boolean factorization. The key idea is to identify two-cube nonkernel Boolean pairs from given expression. Experimental results on various benchmark circuits show the improvements in literal counts over previous other factorization methods.

Improvement of Background Sound Reduction Performance by Non-negative matrix Factorization Method by Wiener Filter Post-processing (위너필터 후처리를 통한 비음수행렬분해 기법의 배경음 저감 성능 향상)

  • Lee, Sang Hyeop;Kim, Hyun Tae
    • The Journal of the Korea institute of electronic communication sciences
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    • v.14 no.4
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    • pp.729-736
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    • 2019
  • In this paper, we propose a method to improve the background sound separation performance by adding a Wiener filter to the end of the non - negative matrix factorization method. In the case of a mixed voice signal with background sound, a part that has not yet been completely separated may remain in the signal that separated first by the non-negative matrix factorization method. In this case, it can be reduced in proportion to the size of the residual signal due to the Wiener filter, so that the background sound separation or reduction effect can be expected. Experimental results show that the addition of the Wiener filter is more effective than the case of applying the non-negative matrix factorization method.

The polynomial factorization over GF($2^n$) (GF($2^n$) 위에서의 다항식 일수분해)

  • 김창한
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.9 no.3
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    • pp.3-12
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    • 1999
  • The public key crytptosystem is represented by RSA based on the difficulty of integer factorization and ElGamal cryptosystem based on the intractability of the discrete logarithm problem in a cyclic group G. The index-calculus algorithm for discrete logarithms in GF${$q^n$}^+$ requires an polynomial factorization. The Niederreiter recently developed deterministic facorization algorithm for polynomial over GF$q^n$ In this paper we implemented the arithmetic of finite field with c-language and gibe an implementation of the Niederreiter's algorithm over GF$2^n$ using normal bases.

Block LU Factorization for the Coupled Stokes Equations by Spectral Element Discretization

  • Piao, Xiangfan;Kim, Philsu;Kim, Sang Dong
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.359-373
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    • 2012
  • The block LU factorization is used to solve the coupled Stokes equations arisen from an optimal control problem subject to Stokes equations. The convergence of the spectral element solution is proved. Some numerical evidences are provided for the model coupled Stokes equations. Moreover, as an application, this algorithm is performed for an optimal control problem.

A Simple Matrix Factorization Approach to Fast Hadamard Transform (단순한 메트릭스 계승접근에 의한 고속 아다마르 변환)

  • Lee, Moon-Ho
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.1
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    • pp.173-176
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    • 1987
  • This paper presents a simple factorization of the Hadamard matrix which is used to develop a fast algorithm for the Hadamard transform. This matrix decomposition is of the kronecker products of identity matrices and successively lower order Hadamard matrices. This following shows how the Kronecker product can be mathematically defined and efficiently implemented using a factorization matrix methods.

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Interior Point Methods for Network Problems (An Efficient Conjugate Gradient Method for Interior Point Methods) (네트워크 문제에서 내부점 방법의 활용 (내부점 선형계획법에서 효율적인 공액경사법))

  • 설동렬
    • Journal of the military operations research society of Korea
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    • v.24 no.1
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    • pp.146-156
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    • 1998
  • Cholesky factorization is known to be inefficient to problems with dense column and network problems in interior point methods. We use the conjugate gradient method and preconditioners to improve the convergence rate of the conjugate gradient method. Several preconditioners were applied to LPABO 5.1 and the results were compared with those of CPLEX 3.0. The conjugate gradient method shows to be more efficient than Cholesky factorization to problems with dense columns and network problems. The incomplete Cholesky factorization preconditioner shows to be the most efficient among the preconditioners.

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SOME FACTORIZATION PROPERTIES OF IDEALIZATION IN COMMUTATIVE RINGS WITH ZERO DIVISORS

  • Sina Eftekhari;Sayyed Heidar Jafari;Mahdi Reza Khorsandi
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.291-299
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    • 2024
  • We study some factorization properties of the idealization R(+)M of a module M in a commutative ring R which is not necessarily a domain. We show that R(+)M is ACCP if and only if R is ACCP and M satisfies ACC on its cyclic submodules. We give an example to show that the BF property is not necessarily preserved in idealization, and give some conditions under which R(+)M is a BFR. We also characterize the idealization rings which are UFRs.